The range is: B. {12, 4, -6}
Step-by-step explanation:
Given
12x + 6y = 24
Here x is the input and y is the output
So,
Replacing y with f(x)
![12x +6f(x) = 24\\6f(x) = 24 - 12x\\\frac{6f(x)}{6} = \frac{24-12x}{6}\\f(x) = \frac{24-12x}{6}](https://tex.z-dn.net/?f=12x%20%2B6f%28x%29%20%3D%2024%5C%5C6f%28x%29%20%3D%2024%20-%2012x%5C%5C%5Cfrac%7B6f%28x%29%7D%7B6%7D%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D%5C%5Cf%28x%29%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D)
Domain = {-4, 0, 5},
We will put the elements of domain, one by one, to find range
![f(-4) = \frac{24-12(-4)}{6}\\=\frac{24+48}{6}\\= \frac{72}{6}\\=12\\\\f(0) = \frac{24-12(0)}{6}\\=\frac{24}{6}\\= 4\\\\f(5) = \frac{24-12(5)}{6}\\=\frac{24-60}{6}\\=\frac{-36}{6}\\=-6](https://tex.z-dn.net/?f=f%28-4%29%20%3D%20%5Cfrac%7B24-12%28-4%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%2B48%7D%7B6%7D%5C%5C%3D%20%5Cfrac%7B72%7D%7B6%7D%5C%5C%3D12%5C%5C%5C%5Cf%280%29%20%3D%20%5Cfrac%7B24-12%280%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%7D%7B6%7D%5C%5C%3D%204%5C%5C%5C%5Cf%285%29%20%3D%20%5Cfrac%7B24-12%285%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24-60%7D%7B6%7D%5C%5C%3D%5Cfrac%7B-36%7D%7B6%7D%5C%5C%3D-6)
Hence,
The range is: B. {12, 4, -6}
Keywords: Range, Domain, functions
Learn more about functions at:
#LearnwithBrainly
To determine the radius of the cone, we make use of the lateral surface area of the cone. The lateral surface of an object is the area of all the sides of a certain object. For a cone, it is the product of pi, the radius and the slant height (lateral height). We calculate as follows:
Lateral Surface Area = πrh
47.1 = πr(6)
r = 2.5 cm
-- Carefully cut <em>each bar into 6 equal pieces</em>.
There are (5 x 6) = 30 pieces all together.
Each piece is 1/6 of a bar.
-- Each child gets 5 of the pieces.
That's the same as <em>5/6 of a whole bar</em>.
(6 children) x (5 pieces) = 30 pieces. It works out. yay !
We cannot find the side measures unless there is another side given.
K=90
L= 90-24 = 66
answers: K=90
L=66
Answer:
put it in desmos
Step-by-step explanation: